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mindquantum.core.gates.PhaseFlipChannel

class mindquantum.core.gates.PhaseFlipChannel(p: float, **kwargs)

A phase flip channel.

Phase flip channel express error that randomly flip the phase of qubit (applies Z gate) with probability $P$, or do noting (applies I gate) with probability $1-P$.

Phase flip channel applies noise as:

$$ϵ(\rho )=(1-P)\rho +PZ\rho Z$$

where $\rho$ is quantum state as density matrix type; $P$ is the probability of applying an additional Z gate.

Parameters

p (int, float) – probability of occurred error.

Examples

>>> from mindquantum.core.gates import PhaseFlipChannel
>>> from mindquantum.core.circuit import Circuit
>>> circ = Circuit()
>>> circ += PhaseFlipChannel(0.02).on(0)
>>> print(circ)
      ╔═════════════╗
q0: ──╢ PFC(p=1/50) ╟───
      ╚═════════════╝

matrix()

Kraus operator of the quantum channel.

Returns

list, contains all Kraus operators of this quantum channel.